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Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds - MaRDI portal

Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds (Q2466437)

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Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds
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    Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds (English)
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    14 January 2008
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    On a compact four-dimensional Riemannian manifold, the existence of solutions to an optimum problem with a constraint involving the Laplace-Beltrami operator is established. The result is related to the extremal functions for Moser-Trudinger type inequalities.
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    Moser-Trudinger inequality
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    blow-up analysis
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    capacity
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    extremal function
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    Green function
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